double attack
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the whole purpose of queen g2 is that it threatens mate for example 1 Qg2 Rxg3 2 Qa8+ Rc8(forced) 3 Qxc8+ Ne8(forced) 4 Qxe8#. and as for Quny's suggestion of 1...Nh7 that fails also, for example 1 Qg2 Nh7 2 Bxh7+ Kxh7 3 Rxg5 and white is up a rook and has an excellent attack on Black's king.SO before you say this puzzle sucks you should definitly look over your suggestions before you post.